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Finding the Fourth Proportional to 17,090, 23,584.20 and 9,638

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Solution

The fourth proportional to 17,090, 23,584.20 and 9,638 is: 13,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,090 : 23,584.20 = 9,638 : x
  2. Step 2: Convert to fraction form
    17,090/23,584.20 = 9,638/x
  3. Step 3: Cross multiply
    17,090x = 23,584.20 × 9,638
  4. Step 4: Simplify right side
    17,090x = 227,304,519.60
  5. Step 5: Solve for x
    x = 227,304,519.60/17,090
  6. Step 6: Final answer
    x = 13,300.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.